Exams › NEET › Physics

What happens to the rms speed of gas molecules when temperature increases from 300 K to 1200 K?

1. It becomes half.
2. It becomes double.
3. It becomes four times.
4. It remains constant.

Correct answer: It becomes double.

Solution

The root mean square (rms) speed of gas molecules is proportional to the square root of the absolute temperature (v_rms ∝ √T). When the temperature increases from 300 K to 1200 K, the ratio of temperatures is 1200/300 = 4. Taking the square root gives √4 = 2, so the rms speed doubles.

Related NEET Physics questions

• The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv, respectively. If γ = Cp / Cv and R is the universal gas constant, then Cv is equal to
• If γ be the ratio of specific heats of a perfect gas, the number of degrees of freedom of a molecule of the gas is
• The number of translational degrees of freedom for a diatomic gas is
• What happens to the average velocity of gas molecules as temperature increases?
• The degree of freedom of a molecule of a triatomic gas is
• What is the formula for internal energy (U) of an ideal gas?

⚔️ Practice NEET Physics free + battle 1v1 →